CASIMIR ENERGY FOR A MASSIVE DIRAC FIELD IN ONE SPATIAL DIMENSION: A DIRECT APPROACH

被引：15
作者：
Saghian, R. [1 ]
Valuyan, M. A. [1 ]
Seyedzahedi, A. [1 ]
Gousheh, S. S. [1 ]
机构：
[1] Shahid Beheshti Univ, Dept Phys, Tehran 19839, Iran
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2012年 / 27卷 / 07期
关键词：
Casimir energy; fermion; MIT bag model; CONDUCTING SPHERICAL-SHELL; ROBIN BOUNDARY-CONDITIONS; FERMIONIC QUANTUM-FIELD; SPACE-TIME; VACUUM POLARIZATION; SCALAR FIELD; BAG MODEL; DENSITIES; SOLITONS; CAVITY;
D O I：
10.1142/S0217751X12500388
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
In this paper, we calculate the Casimir energy for a massive fermionic field confined between two points in one spatial dimension, with the MIT bag model boundary condition. We compute the Casimir energy directly by summing over the allowed modes. The method that we use is based on the Boyer's method, and there will be no need to resort to any analytic continuation techniques. We explicitly show the graph of the Casimir energy as a function of the distance between the points and the mass of the fermionic field. We also present a rigorous derivation of the MIT bag model boundary condition.
引用
收藏
页数：14
相关论文
共 59 条
  • [1] PROPERTIES OF THE VACUUM .1. MECHANICAL AND THERMODYNAMIC
    AMBJORN, J
    WOLFRAM, S
    [J]. ANNALS OF PHYSICS, 1983, 147 (01) : 1 - 32
  • [2] Potentials in N=4 superconformal mechanics
    Bellucci, Stefano
    Krivonos, Sergey
    [J]. PHYSICAL REVIEW D, 2009, 80 (06):
  • [3] Bogoliubov P. N., 1967, ANN I HENRI POINCARE, V8, P163
  • [4] New developments in the Casimir effect
    Bordag, M
    Mohideen, U
    Mostepanenko, VM
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2001, 353 (1-3): : 1 - 205
  • [5] Bordag M., 2009, Advances in the Casimir Effect
  • [6] QUANTUM ELECTROMAGNETIC ZERO-POINT ENERGY OF A CONDUCTING SPHERICAL SHELL AND CASIMIR MODEL FOR A CHARGED PARTICLE
    BOYER, TH
    [J]. PHYSICAL REVIEW, 1968, 174 (05): : 1764 - &
  • [7] SIMPLE PHYSICAL INTERPRETATION OF CRITICAL DIMENSION OF SPACE-TIME IN DUAL MODELS
    BRINK, L
    NIELSEN, HB
    [J]. PHYSICS LETTERS B, 1973, B 45 (04) : 332 - 336
  • [8] Bytsenko AA, 2003, INT J MOD PHYS A, V18, P2179, DOI 10.1142/S0217751X03014186
  • [9] Casimir H., 1948, Proc. K. Ned. Akad. Wet, V51, P793, DOI DOI 10.4236/WJNSE.2015.52007
  • [10] The electronic properties of graphene
    Castro Neto, A. H.
    Guinea, F.
    Peres, N. M. R.
    Novoselov, K. S.
    Geim, A. K.
    [J]. REVIEWS OF MODERN PHYSICS, 2009, 81 (01) : 109 - 162
123456